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Finding the Fourth Proportional to 85,779.50, 128,669.25 and 23,450

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Solution

The fourth proportional to 85,779.50, 128,669.25 and 23,450 is: 35,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,779.50 : 128,669.25 = 23,450 : x
  2. Step 2: Convert to fraction form
    85,779.50/128,669.25 = 23,450/x
  3. Step 3: Cross multiply
    85,779.50x = 128,669.25 × 23,450
  4. Step 4: Simplify right side
    85,779.50x = 3,017,293,912.50
  5. Step 5: Solve for x
    x = 3,017,293,912.50/85,779.50
  6. Step 6: Final answer
    x = 35,175

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.